Post on 03-Apr-2018
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LTRCKevin Gaspard
Doc. Zhang
Mostafa Elseifi 1
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RWDLate 1990s structural
condition of airfield
pavements
Four equally-spaced
lasers measure surfacedeflection (A, B, C, and D) D C B A
h = B 2C + D
Def = hh
D C B A
Point of
interest
8ft 8ft 8ft
h = A -2B + C
Briggs et al. 2000
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Research sites
16 roads1.5 miles
AC Roads 3
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UNION
MADISON
MOREHOUSE
OUACHITA
JACKSON
RICHLAND
LINCOLN
EAST CARROLL
WEST CARROLL
Network
1200 miles
AC Roads
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RWD Index (RI) over Segment
Pavement structural capacity:
Deflection magnitude (Avg. RWD)
Variability of deflection (SDRWD) overthe segment
Define the RWD Index (RI):
RI = average deflection (Avg. RWD) xstandard deviation (SDRWD)
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RI
RI > Roadway segment (RS) > 0.1 mile
AC thick. (0.5 to 23 in.)
Deflections are thickness dependent
Arranged in Groups by Thickness
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k
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Summary
PMS data base query for PDI
RI merged with PDI per RS
RS stratified based on Pave. Th.
Yielded > Data set to work with.
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Hypothesis:
RI provides useful information!
Proof:
Multivariate Statistical Method(Factor Analysis)
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Factor analysis
Describes the Variance characteristics
of variables in terms of a lower
number of manufactured variables
called >Factors
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RI Ranges for Treatments
Descriptive statistics
(RI) ALCR Variable Treatment
ANOVA for four Treatments
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RI 18
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T (A l i S t 2)
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Two groups (Analysis Set 2)
Thick. Structurally Deficient Structurally Sound
(in.) ALCR < 75 ALCR >75
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68%
31%Imprecision
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Fuzzy Logic
Decision processes to deal with
imprecision (GRAY AREAS)
Uses Possibility theory
Elements are assigned Membershipvalues
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Possibility
Theory
Probability
Theory
Has 95 %
membership in
Drinkable Water
95 % chance
Water is Drinkable
Which would you
prefer to Drink?
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Structurally
Deficient
RI (X2)
U
x
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U
x
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Membership values
Intuition (Engineering Judgment) Neural networks
Fuzzy statistics
Meta rules Soft partitioning
Inductive reasoning
Genetic algorithms
Rank ordering Inference
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25%
475 800
50 %
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Summary
FA > RI > single index for Structural
capacity
Structurally Sound and Deficient
parameters were created
Fuzzy functions for individual sections
and Groups of sections were created
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When You Learn to Run We can Chase Cats!40